Kavli Affiliate: Renxin Xu
| First 5 Authors: Wen-Li Yuan, Bikai Gao, Yan Yan, Bolin Li, Renxin Xu
| Summary:
We extend the parity doublet model for hadronic matter and study the possible
presence of quark matter inside the cores of neutron stars with the
Nambu-Jona-Lasinio (NJL) model. Considering the uncertainties of the QCD phase
diagram and the location of the critical endpoint, we aim to explore the
competition between the chiral phase transition and the deconfinement phase
transition systematically, regulated by the vacuum pressure $-B$ in the NJL
model. Employing a Maxwell construction, a sharp first-order deconfinement
phase transition is implemented combining the parity doublet model for the
hadronic phase and the NJL model for the high-energy quark phase. The position
of the chiral phase transition is obtained from the NJL model
self-consistently. We find stable neutron stars with a quark core within a
specific parameter space that satisfies current astronomical observations. The
observations suggest a relatively large chiral invariant mass $m_0=600$ MeV in
the parity doublet model and a larger split between the chiral and
deconfinement phase transitions while assuming the first-order deconfinement
phase transition. The maximum mass of the hybrid star that we obtain is $sim
2.2 M_{odot}$.
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